Stability and global Hopf bifurcation in a Leslie-Gower predator-prey model with stage structure for prey

被引：16

作者：

Meng, Xin-You ^{[1
]}

Huo, Hai-Feng ^{[1
]}

Zhang, Xiao-Bing ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2019年 / 60卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Global Hopf bifurcation; Leslie-Gower; Stage structure; Predator-prey; SYSTEM; DISEASE;

D O I：

10.1007/s12190-018-1201-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a predator-prey model with Leslie-Gower functional response and stage structure for prey. By regarding time delay as the bifurcation parameter, sufficient conditions for the local stability of the positive equilibrium and the existence of Hopf bifurcation are given. Some explicit formulas determining the properties of Hopf bifurcation are established by using the normal form method and center manifold theorem. The global continuation of periodic solutions bifurcating from the positive equilibrium is given due to a global Hopf bifurcation result for functional differential equations. Finally, numerical simulations are carried out to show consistency with theoretical analysis.

引用

页码：1 / 25

页数：25

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